Topological generalization of minimal structure with medical application

Abstract

In this paper we used the MSAS, β-open sets and δβ-open sets to introduce a new approximation of uncertain sets as a mathematical tool to modify the approximations. Moreover, several important measures such accuracy measure and quality of approximation would be studied. We compared the previous methods with the current one we obtained. We proved that minimal structure is more efficient and accurate in obtaining results than topology. Our new Mδβ-approximation space is more accurate than MSAS , β-approximations and δβ-approximations since by using it the boundary regions decreased by increasing the lower approximation space and decreasing the upper approximation space.Finally we show the importance of our new approximations with medical science by applying this approximations in corona virus problem.